In this Letter, we present the first observation of \(e^+e^-\rightarrow \pi ^{0}\pi ^{0}h_{c}\) 
at \(\sqrt{s} = 4.23\)  GeV, 4.26 GeV, and 4.36 GeV, and
the observation of a neutral charmoniumlike structure \(Z_c(4020)^0\)  in the \(\pi ^0h_c\) 
spectrum. We closely follow the analysis of \(e^+e^-\rightarrow \pi ^+\pi ^-h_c\)  [1]} with the selection of \(\pi ^+\pi ^-\)  replaced with the
selection of a pair of \(\pi ^{0}\) s. The data samples were collected
with the BESIII detector [2]}. The CMEs and corresponding integrated luminosities are listed in
Table REF .
